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2 years ago

The diagram is not drawn to scale

Mathematics

1 answer:

Firlakuza [10]2 years ago

6 0

Answer:

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You might be interested in

Parallelogram ABCD is a rectangle.

valentinak56 [21]

The diagonals are equal and they bisect each other.
BD=2BX=2(y+4)=2y+8
AC=BD
4y=2y+8
2y=8
y=4

8 0

3 years ago

Read 2 more answers

The probability of a successful optical alignment in the assembly of an optical data storage product is p = 0.7. Assume the tria

zhannawk [14.2K]

Answer:

(a) P(X = 4) = 0.0189

(b) P(X $\leq$ 4) = 0.9919

(c) P(X $\geq$ 4) = 0.027

Step-by-step explanation:

We are given that the probability of a successful optical alignment in the assembly of an optical data storage product is p = 0.7 .

Since we have to find the probabilities for 1st successful alignments, so the probability distribution that we will use here is Geometric distribution.

<u>Geometric distribution</u> is used when we are interested in knowing the chances of our first success.

The probability distribution of geometric distribution is given by;

$P(X =x) = p(1-p)^{x-k} ; x = 1,2,3,....$

where, $x$ = number of trials

k = first success = 1

p = probability of getting success = 0.70

So, X ~ Geo(p = 0.7)

(a) Probability that the 1st successful alignment requires exactly 4 trials is given by = P(X = 4)

Here, $x$ = 4, p = 0.7 and k = 1

So, P(X = 4) = $0.7(1-0.7)^{4-1}$ = $0.7 \times 0.3^{3}$ = 0.0189

(b) Probability that the 1st successful alignment requires at most 4 trials is given = P(X $\leq$ 4)

P(X $\leq$ 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

= $0.7(1-0.7)^{1-1} + 0.7(1-0.7)^{2-1}+0.7(1-0.7)^{3-1}+0.7(1-0.7)^{4-1}$

= $0.7 \times 0.3^{0}+0.7 \times 0.3^{1}+0.7 \times 0.3^{2}+0.7 \times 0.3^{3}$

= 0.7 + 0.21 + 0.063 + 0.0189 = 0.9919

P(X $\geq$ 4) = 1 - P(X < 4) = 1 - P(X $\leq$ 3)

P(X $\geq$ 4) = 1 - P(X = 1) - P(X = 2) - P(X = 3)

= $1-0.7(1-0.7)^{1-1} + 0.7(1-0.7)^{2-1}+0.7(1-0.7)^{3-1}$

= $1-0.7 \times 0.3^{0}+0.7 \times 0.3^{1}+0.7 \times 0.3^{2}$

= 1 - 0.7 - 0.21 - 0.063 = 0.027

8 0

2 years ago

WILL GIVE BRAINLIEST IF YOU KNOW THE ANSWER!!! PLS HELP :)

galben [10]

Answer:

A. 5.0 * 10⁻⁹ J

Step-by-step explanation:

Q is charge.

ΔV is electric potential energy.

All we have to do is plug both values in.

PE = (1/2)(1.0 * 10⁻¹⁰)(100) = (1/2)(1.0* 10⁻⁸) = 5.0 * 10⁻⁹ J

8 0

2 years ago

For the function m(n)=4n-7, when m is 9 what is n?

klio [65]

Answer:

n = 4

Step-by-step explanation:

Put the given values in the equation and solve for n.

9 = 4n -7

16 = 4n . . . . . . add 7

4 = n . . . . . . . . divide by 4

The value of n is 4 so that m(4) = 9.

8 0

3 years ago

Mr. Richard owns an orchard that has a rectagular fence . The orchard is 36 yards long and 18 yards wide . if he walks across th

Sergio [31]

Answer:

40.2 Yards

Step-by-step explanation:

To find the diagonal length of the orchard, we need to use the Pythagorean Theorem. The formula of the Pythagorean Theorem is:

c²= a² + b²

a = 36 Yards

b = 18 Yards

Now let's plug in our values to the formula.

c² = a² + b²

c² = 36² + 18²

c² = 1296 + 324

c² = 1620

Now to find the value of c we need to get the square root of both sides.

$\sqrt{c^{2}}=\sqrt{1620}$

c = 40.2

So the diagonal length of Mr. Richard's orchard is 40.2 Yards.

7 0

3 years ago